Some alternative derivations of Craig's formula

In the performance of digital communication systems over fading channels, the error analysis is typically modelled using a Gaussian probability distribution. One function central to the analysis is what engineers routinely refer to as the (Gaussian) Q-function and is defined by 1 This is the canonic...

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Bibliographic Details
Published in:Mathematical gazette 2017-07, Vol.101 (551), p.268-279
Main Author: STEWART, SEÁN M.
Format: Article
Language:English
Subjects:
Channels
Engineers
Error analysis
Fading
Gaussian distribution
Mathematics
Normal distribution
Systems analysis
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Summary:In the performance of digital communication systems over fading channels, the error analysis is typically modelled using a Gaussian probability distribution. One function central to the analysis is what engineers routinely refer to as the (Gaussian) Q-function and is defined by 1 This is the canonical representation used for the function. In this paper a number of derivations of an important alternative representation for the Q -function known as Craig's formula will be given.
ISSN:0025-5572
2056-6328
DOI:10.1017/mag.2017.66